What is the 4661st prime number?
The 4661st prime number is 44851. The next prime is 44867 (a gap of 16) and the one before is 44843.
Position
Pick any whole number from 1 to 10,000.
How to work it out
- 1
List the primes in order: 2, 3, 5, 7, 11, 13, ā¦ The 4661st one is 44851.
- 2
44851 is prime because no prime up to ā44851 ā 211.78 divides it.
- 3
The primes are spread thinner as numbers grow: by the prime number theorem the 4661st prime is close to 4661 Ć ln(4661) ā 39371, and here it is 44851.
- 4
44851 has no twin: neither 44849 nor 44853 is prime.
Primes around the 4661st
| Position | Prime | Gap from the previous |
|---|---|---|
| 4658 | 44819 | 10 |
| 4659 | 44839 | 20 |
| 4660 | 44843 | 4 |
| 4661 | 44851 | 8 |
| 4662 | 44867 | 16 |
| 4663 | 44879 | 12 |
| 4664 | 44887 | 8 |
Questions
What is the 4661st prime number?
44851.
Which prime number is 44851?
44851 is the 4661st prime number.
What is the sum of the first 4661 primes?
98,604,366.